Breakdown of the Nagaoka phase at finite doping

Abstract

The Nagaoka ($U=\infty$) limit of the Hubbard model on a square lattice is mapped onto the itinerant-localized Kondo model at infinitely strong coupling. Such a model is well suited to perform quantum Monte Carlo (QMC) simulations to compute spin correlation functions. This model is shown to exhibit no short-range ferromagnetic (FM) spin correlations at any doping $\delta \ge 0.01$ and finite temperature, $T=0.1t$. Our simulations give no indication that there is a tendency towards ferromagnetic ordering in the ground state.

References in corpus (14)

• From Nagaoka's ferromagnetism to flat-band ferromagnetism and beyond: An introduction to ferromagnetism in the Hubbard model
• Ferromagnetism in the Hubbard Model-- Examples from Models with Degenerate Single-Electron Ground States
• Lattice dependence of saturated ferromagnetism in the Hubbard model
• Phases of the infinite U Hubbard model
• Nagaoka ferromagnetism in the two-dimensional infinite-U Hubbard model
• A dynamical mean-field theory study of Nagaoka ferromagnetism
• Doped carrier formulation and mean-field theory of the tt't''J model
• New mean field theory of the tt't''J model applied to the high-Tc superconductors
• The itinerant ferromagnetic phase of the Hubbard model
• Doped carrier formulation of the t-J model: the projection constraint and the effective Kondo-Heisenberg lattice representation
• Gauge Invariance and Spinon-Dopon Confinement in the t-J Model: implications for Fermi Surface Reconstruction in the Cuprates
• The breakdown of the mean-field description of the Nagaoka phase
• Ferromagnetism in a hard-core boson model
• Quantum Monte Carlo study of the itinerant-localized model of strongly correlated electrons: Spin-spin correlation functions

Cited by in corpus (8)

• Polaronic mechanism of Nagaoka ferromagnetism in Hubbard models
• Magnetic phase diagram of the infinite-U Hubbard model with nearest- and next nearest-neighbor hoppings
• Onset of ferromagnetism for strongly correlated electrons in one-dimensional chains
• Stable and Metastable Kinetic Ferromagnetism on a Ring
• Functional renormalization group for extremely correlated electrons
• Shaping Magnetic Order by Local Frustration for Itinerant Fermions on a Graph
• Bad Metal Behavior and Lifshitz Transition of a Nagaoka Ferromagnet
• Itinerant magnetism in Hubbard models with long-range interactions